Layek G An Introduction to Dynamical Systems and Chaos 2ed 2024 | 20.15 MB
N/A | 701 Pages

Title: An Introduction to Dynamical Systems and Chaos
Author: G. C. Layek
Year: N/A

Free Download Stochastic Approximation: A Dynamical Systems Viewpoint by Vivek S. Borkar
English | PDF EPUB (True) | 2024 | 280 Pages | ISBN : 9819982766 | 28.7 MB
This book serves as an advanced text for a graduate course on stochastic algorithms for the students of probability and statistics, engineering, economics and machine learning. This second edition gives a comprehensive treatment of stochastic approximation algorithms based on the ordinary differential equation (ODE) approach which analyses the algorithm in terms of a limiting ODE. It has a streamlined treatment of the classical convergence analysis and includes several recent developments such as concentration bounds, avoidance of traps, stability tests, distributed and asynchronous schemes, multiple time scales, general noise models, etc., and a category-wise exposition of many important applications. It is also a useful reference for researchers and practitioners in the field.

Free Download Order and Chaos in Dynamical Astronomy by George Contopoulos
English | PDF | 2002 | 633 Pages | ISBN : 3540433600 | 57.8 MB
There have been many books on Dynamical Astronomy up to now. Many are devoted to Celestial Mechanics, but there are also several books on Stellar and Galactic Dynamics. The first books on stellar dynamics dealt mainly with the statistics of stellar motions (e. g. Smart's "Stellar Dynamics" (1938), or Trumpler and Weaver's "Statistical Astronomy" (1953)). A classical book in this field is Chandrasekhar's "Principles of Stellar Dynamics" (1942) that dealt mainly with the time of relaxation, the solutions of Liouville's equation, and the dynamics of clusters. In the Dover edition of this book (1960) an extended Appendix was added, containing the statistical mechanics of stellar systems, a quite "modern" subject at that time. The need for a classroom book was covered for several years by the book of Mihalas and Routly "Galactic Astronomy" (1969).

Free Download EQUIDISTRIBUTION OF DYNAMICAL SYSTEMS: TIME-QUANTITATIVE SECOND LAW (Fractals and Dynamics in Mathematics, Science, and the Arts:) by Jozsef Beck
English | October 20, 2020 | ISBN: 9811225559 | 448 pages | MOBI | 76 Mb
We know very little about the time\-evolution of many\-particle dynamical systems, the subject of our book. Even the 3\-body problem has no explicit solution (we cannot solve the corresponding system of differential equations, and computer simulation indicates hopelessly chaotic behaviour). For example, what can we say about the typical time evolution of a large system starting from a stage far from equilibrium? What happens in a realistic time scale? The reader\x27s first reaction is probably: What about the famous Second Law (of thermodynamics)? Unfortunately, there are plenty of notorious mathematical problems surrounding the Second Law. (1) How to rigorously define entropy? How to convert the well known intuitions (like \x26#34;\x26#34;disorder\x26#34;\x26#34; and \x26#34;\x26#34;energy spreading\x26#34;\x26#34;) into precise mathematical definitions? (2) How to express the Second Law in forms of a rigorous mathematical theorem? (3) The Second Law is a \x26#34;\x26#34;soft\x26#34;\x26#34; qualitative statement about entropy increase, but does not say anything about the necessary time to reach equilibrium. The object of this book is to answer questions (1)\-(2)\-(3). We rigorously prove a Time\-Quantitative Second Law that works on a realistic time scale. As a by product, we clarify the Loschmidt\-paradox and the related reversibility\/irreversibility paradox.

Free Download Michel Coornaert, "Topological Dimension and Dynamical Systems "
English | ISBN: 3319197932 | 2015 | 248 pages | EPUB | 5 MB
Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. The book examines how this invariant was successfully used by Elon Lindenstrauss and Benjamin Weiss to answer a long-standing open question about embeddings of minimal dynamical systems into shifts.

Dilao R Dynamical System and Chaos An Introduction with Applications 2023 | 15.62 MB
N/A | 328 Pages

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Author: N/A
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Free Download Dynamical System and Chaos: An Introduction with Applications
English | 2023 | ISBN: 3031251539 | 519 Pages | PDF EPUB (True) | 58 MB
This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful.

Free Download Dissipative Lattice Dynamical Systems (380 Pages)
by Xiaoying Han & Peter Kloeden
English | 2023 | ISBN: 9811267758 | 381 pages | True PDF | 9.36 MB

Free Download Mathematical Methods in Dynamical Systems
English | 2023 | ISBN: 1032356863 | 393 Pages | PDF (True) | 40 MB
The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.

Chakraverty S Mathematical Methods in Dynamical Systems 2023 | 40.41 MB
N/A | 393 Pages

Title: Mathematical Methods in Dynamical Systems
Author: S. Chakraverty
Year: 2023